[DTube] Modelling Population Growth with the Logistic Model: IVPsteemCreated with Sketch.

in #dtube5 years ago (edited)


I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

In this video, we use our knowledge of the logistic model for population growth to write a formula for the growth of the population of a certain species.

This is an initial value problem.

Suppose that a population grows has a carrying capacity of K = 6000 and a growth rate of r = 0.0015 per year, if the initial population is 1000, we use this information to write a formula for the population after t years.

We use this formula to find the population after 50 years.


First Order Differential Equation Videos

  1. Modelling the Decay of Nuclear Medicine with dy/dx = -ky
  2. Newton's Law of Cooling
  3. The Logistic Differential Equation for Population Growth: General Solution
  4. Modelling Population Growth with the Logistic Model: IVP

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.


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